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15. Statistics
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Q25 of 23 Page 15

From the prices of shares X and Y below, find out which is more stable in value:

Here


For X


Mean where n is number of terms




=


=


=


Standard deviation = √variance= √35=5.91


Coefficient of variation


For Y


where n is number of terms


=



=


=


=


Standard variance = √variance= √4=2


Coefficient of variation


Covariance of x covariance of Y


⇒ X is more variable and Y is more stable than X

More from this chapter

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20

The mean and variance of 7 observations are 8 and 16, respectively. If five of the observations are 2, 4, 10, 12, 14. Find the remaining two observations.

21

The sum and sum of squares corresponding to length x (in cm) and weight y (in gm) of 50 plant products are given below:


Which is more varying, the length or weight?

22

Calculate the mean deviation about median age for the age distribution of 100 persons given below:


[Hint Convert the given data into continuous frequency distribution by subtracting 0.5 from the lower limit and adding 0.5 to the upper limit of each class interval]

24

The mean and standard deviation of six observations are 8 and 4, respectively. If each observation is multiplied by 3, find the new mean and new standard deviation of the resulting observations.

Questions · 23
15. Statistics
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